Add to ORKGIn this paper we prove a quaternionic positive real lemma as well as its generalized version, in case the associated kernel has negative squares for slice hyperholomorphic functions. We consider the case of functions with positive real part in the half space of quaternions with positive real part, as well as the case of (generalized) Schur functions in the open unit ball
A boundary Nevanlinna-Pick interpolation problem is posed and solved in the quaternionic setting. Gi...
The theory of slice regular functions of a quaternionic variable extends the notion of holomorphic f...
In this paper, we prove that slice polyanalytic functions on quaternions can be considered as soluti...
In this paper we prove a quaternionic positive real lemma as well as its generalized version, in cas...
A classical theorem of Herglotz states that a function n↦r(n) from Z into Cs×s is positive definite ...
In this paper we start the study of Schur analysis in the quaternionic setting using the theory of s...
We study reproducing kernel Hilbert and Pontryagin spaces of slice hyperholomorphic functions which ...
We here extend the well known Positive Real Lemma (also known as the Kalman-Yakubovich-Popov Lemma) ...
In this paper we prove a new version of Krein-Langer factorization theorem in the slice hyperholomor...
The Hardy spaces H2(B) and H2(H+), where B and H+ denote, respectively, the open unit ball of the qu...
Hyper-positive real, matrix-valued, rational functions are associated with absolute stability (the L...
This chapter is a survey on recent developments in quaternionic Schur analysis. The first part is ba...
We study various aspects of Schur analysis in the slice hyperholomorphic setting. We present two se...
We study various aspects of Schur analysis in the slice hyperholomorphic setting. We present two set...
The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 200...
A boundary Nevanlinna-Pick interpolation problem is posed and solved in the quaternionic setting. Gi...
The theory of slice regular functions of a quaternionic variable extends the notion of holomorphic f...
In this paper, we prove that slice polyanalytic functions on quaternions can be considered as soluti...
In this paper we prove a quaternionic positive real lemma as well as its generalized version, in cas...
A classical theorem of Herglotz states that a function n↦r(n) from Z into Cs×s is positive definite ...
In this paper we start the study of Schur analysis in the quaternionic setting using the theory of s...
We study reproducing kernel Hilbert and Pontryagin spaces of slice hyperholomorphic functions which ...
We here extend the well known Positive Real Lemma (also known as the Kalman-Yakubovich-Popov Lemma) ...
In this paper we prove a new version of Krein-Langer factorization theorem in the slice hyperholomor...
The Hardy spaces H2(B) and H2(H+), where B and H+ denote, respectively, the open unit ball of the qu...
Hyper-positive real, matrix-valued, rational functions are associated with absolute stability (the L...
This chapter is a survey on recent developments in quaternionic Schur analysis. The first part is ba...
We study various aspects of Schur analysis in the slice hyperholomorphic setting. We present two se...
We study various aspects of Schur analysis in the slice hyperholomorphic setting. We present two set...
The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 200...
A boundary Nevanlinna-Pick interpolation problem is posed and solved in the quaternionic setting. Gi...
The theory of slice regular functions of a quaternionic variable extends the notion of holomorphic f...
In this paper, we prove that slice polyanalytic functions on quaternions can be considered as soluti...